728144361 has 36 divisors (see below), whose sum is σ = 1225424304. Its totient is φ = 415422000.

The previous prime is 728144321. The next prime is 728144387. The reversal of 728144361 is 163441827.

It is not a de Polignac number, because 728144361 - 2⁷ = 728144233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728144321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462706 + ... + 464276.

It is an arithmetic number, because the mean of its divisors is an integer number (34039564).

Almost surely, 2^728144361 is an apocalyptic number.

It is an amenable number.

728144361 is a deficient number, since it is larger than the sum of its proper divisors (497279943).

728144361 is a wasteful number, since it uses less digits than its factorization.

728144361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2632 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 728144361 is about 26984.1501811712. The cubic root of 728144361 is about 899.6477473343.

The spelling of 728144361 in words is "seven hundred twenty-eight million, one hundred forty-four thousand, three hundred sixty-one".